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Calculate the number of byes to be given in total in upper half if the total number of teams participating in the event is 13.

  • a)
    13 byes

  • b)
    7 byes

  • c)
    3 byes

  • d)
    4 byes

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Calculate the number of byes to be given in total in upper half if the...
If a total of 13 teams are participating in an event, 6 byes will be given in the upper half. This is calculated based on the nearest power of 2, which is 16 in this case. Since there are 13 teams, there will be 16 - 13 = 3 byes in the lower half, and the remaining 6 byes will be given in the upper half.
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Calculate the number of byes to be given in total in upper half if the...
To calculate the number of byes in the upper half, we need to first determine the number of teams in the upper half. Since we have a total of 13 teams participating in the event, the upper half will consist of 7 teams (rounding up from 6.5).

To distribute the byes, we need to consider the number of teams in the upper half. In this case, we have 7 teams. However, to have a balanced bracket, the number of teams should be a power of 2 (e.g., 2, 4, 8, 16, etc.). Since 7 is not a power of 2, we need to find the next power of 2 that is greater than 7. In this case, it is 8.

To accommodate the extra team, we need to give byes to some teams in the upper half. The number of byes required can be calculated by subtracting the number of teams in the upper half from the next power of 2. Therefore, the number of byes required in the upper half is:

8 - 7 = 1 bye

So, the correct answer is option C, 1 bye.
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